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Finding the Fourth Proportional to 788.06, 1,087.50 and 438.74

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Solution

The fourth proportional to 788.06, 1,087.50 and 438.74 is: 605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.06 : 1,087.50 = 438.74 : x
  2. Step 2: Convert to fraction form
    788.06/1,087.50 = 438.74/x
  3. Step 3: Cross multiply
    788.06x = 1,087.50 × 438.74
  4. Step 4: Simplify right side
    788.06x = 477,129.75
  5. Step 5: Solve for x
    x = 477,129.75/788.06
  6. Step 6: Final answer
    x = 605.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.